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Finding the Fourth Proportional to 484.80, 724.16 and 411.88

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Solution

The fourth proportional to 484.80, 724.16 and 411.88 is: 615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.80 : 724.16 = 411.88 : x
  2. Step 2: Convert to fraction form
    484.80/724.16 = 411.88/x
  3. Step 3: Cross multiply
    484.80x = 724.16 × 411.88
  4. Step 4: Simplify right side
    484.80x = 298,267.02
  5. Step 5: Solve for x
    x = 298,267.02/484.80
  6. Step 6: Final answer
    x = 615.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.